@article{oai:kitami-it.repo.nii.ac.jp:00006596, author = {Yasuhiko, YABU and Shigeo, KATO}, issue = {1}, journal = {北見工業大学研究報告}, month = {Nov}, note = {application/pdf, The global existence of the solutions of the Cauchy problem x^′=f(t, x), x(0)=x_0∈E in a Banach space E are studied. We give a sufficient condition for the above equation to have a unique global solution, and prove that the successive approximations for the above equation converge weakly uniformly to the unique solution on any bounded interval of [0, ∞].}, pages = {63--68}, title = {Global Weak Convergence of Successive Approximations for Nonlinear Ordinary Differential Equations in Banach Spaces}, volume = {18}, year = {1986} }